Abstract
We show that every Gromov hyperbolic group Γ admits a quasi-isometric embedding into the product of n+1 binary trees, where n=dim∂∞Γ is the topological dimension of the boundary at infinity of Γ.
Buyalo, S; Dranishnikov, A; Schroeder, Viktor (2007). Embedding of hyperbolic groups into products of binary trees. Inventiones Mathematicae, 169(1):153-192.
Abstract
We show that every Gromov hyperbolic group Γ admits a quasi-isometric embedding into the product of n+1 binary trees, where n=dim∂∞Γ is the topological dimension of the boundary at infinity of Γ.
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Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 07 Dec 2009 14:11 |
| Last Modified: | 23 Jan 2022 14:31 |
| Publisher: | Springer |
| ISSN: | 0020-9910 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00222-007-0045-2 |
Buyalo, S